Answer:
The statements that must be true are:
XY and JK form four right angles ⇒ B
XY ⊥ JK ⇒ C
JP = KP ⇒ E
m∠JPX = 90° ⇒ F
Step-by-step explanation:
From the given figure
∵ Line XY is the perpendicular bisector of the line segment JK
→ That means line XY is the line of symmetry of the line segment JK
∴ XY ⊥ JK ⇒ C
∵ XY ∩ JK at point P
∴ P is the midpoint of JK
∵ XY ⊥ JK
∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles
∴ XY and JK form four right angles ⇒ B
∵ The measure of the right angle is 90°
∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°
∴ m∠JPX = 90° ⇒ F
∵ P is the midpoint of JK
∴ JP = KP ⇒ E
A counterexample could be 2 inches and 10 inches.
Answer:
-2 and 24
Step-by-step explanation:
the trend line is linear,
let the unknowns be A and B
hence the equation becomes
K = AJ + B
from the graph we can see the following:
when J = 0, K = 24 (substitute this into the equation)
K = AJ + B
24 = A(0) + B
24 = B (Answer)
Also notice that when K = 0, J = 12
together with our previous finding that B = 24, the equation becomes:
K = AJ + B
0 = A(12) + 24
12A = -24
A = -24 / 12
A = -2 (answer)
Answer: 5.18 pounds
Step-by-step explanation:
Given: The pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas.
Let 'p' denote the pressure exerted on the walls and 't' denotes temperature of the gas.
Then the equation is given by :-
, where c is the proportionality constant.
Also, the pressure is 6 pounds per square inch when the temperature is 440° F.
Then, the final equation to calculate pressure becomes :-
Now, the pressure exerted when the temperature of the gas is 380°F is given by :-
